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Finding the Third Proportional to 355,156 and 780,296

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Solution

The third proportional to 355,156 and 780,296 is: 1,714,350.45

Step by Step Solution

  1. Step 1: Write the proportion equation
    355,156 : 780,296 = 780,296 : x
  2. Step 2: Convert to fraction form
    355,156/780,296 = 780,296/x
  3. Step 3: Cross multiply
    355,156x = 780,296 × 780,296
  4. Step 4: Simplify right side
    355,156x = 608,861,847,616
  5. Step 5: Solve for x
    x = 608,861,847,616/355,156
  6. Step 6: Final answer
    x = 1,714,350.45

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Why These Related Problems?

These problems maintain the same ratio (2.20) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.